LCM of 297, 748, 538, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 297, 748, 538, 693 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 297, 748, 538, 693. So, keep reading to learn more.
Given numbers are 297,748,538,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,748,538,693 is 38029068.
Find LCM of 297,748,538,693 with Prime Factorization
| 2 | 297, 748, 538, 693 |
| 3 | 297, 374, 269, 693 |
| 3 | 99, 374, 269, 231 |
| 11 | 33, 374, 269, 77 |
| 3, 34, 269, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 3 x 34 x 269 x 7 = 38029068
Therefore, the lowest common multiple of 297,748,538,693 is 38029068.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
297 x 748 x 538 x 693 = 82827310104
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
297 : 1, 3, 9, 11, 27, 33, 99, 297
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
538 : 1, 2, 269, 538
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,748,538,693, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
748:2x 2x 11x 17
538:2x 269
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 11 = 2178
Therefore, the value for common factors is 2178.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 82827310104/(1x2178)
LCM = 82827310104/2178
LCM = 38029068
Thus, we can understand that the LCM of 297,748,538,693 is 38029068.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 297, 748, 538, 693
1. What is the LCM of 297, 748, 538, 693?
Answer: LCM of 297, 748, 538, 693 is 38029068.
2. How to calculate the LCM of 297, 748, 538, 693?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 297, 748, 538, 693.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.